Staff Selection Commission Combined Higher Secondary Level Exam
Question : Choose the word that is opposite in meaning to the given word.
Reprove
Option 1: Rap
Option 2: Eulogise
Option 3: Pummel
Option 4: Keelhaul
Correct Answer: Eulogise
Solution : The second option is the correct answer.
Reprove means to express disapproval or criticism, often with the intention of correcting or scolding. On the other hand, the word, eulogise means to praise highly or speak favourably about someone or something, typically in a formal speech
Question : Find the numerical value of $\frac{9}{\operatorname{cosec^{2}\theta}}+4\cos^{2}\theta+\frac{5}{1+\tan^{2}\theta}$
Option 1: $5$
Option 2: $7$
Option 3: $9$
Option 4: $4$
Correct Answer: $9$
Solution : Given: $\frac{9}{\operatorname{cosec^{2}\theta}}+4\cos^{2}\theta+\frac{5}{1+\tan^{2}\theta}$ $=9\sin^2\theta+4\cos^{2}\theta+\frac{5}{\operatorname{sec^{2}\theta}}$ $=9\sin^2\theta+4\cos^{2}\theta+5\cos^{2}\theta$ $=9\sin^2\theta+9\cos^{2}\theta$ $=9(\sin^2\theta+\cos^{2}\theta)$ $=9$ [$\because \sin^2\theta+\cos^{2}\theta=1$] Hence, the correct answer is $9$.
Question : The average expenditure of a man for the first five months is INR 1,200 and for the next seven months is INR 1,300. If he saves INR 2,900 in that year, his monthly average income is:
Option 1: INR 1,500
Option 2: INR 1,600
Option 3: INR 1,700
Option 4: INR 1,400
Correct Answer: INR 1,500
Solution : The average expenditure of a man for the first five months = INR 1,200 The average expenditure of a man for the next seven months = INR 1,300 Total annual expenditure = 5 × 1200 + 7 × 1300 = INR 15,100 Savings =
Question : If $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$, then find the value of $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11$.
Option 1: –11
Option 2: –2
Option 3: 11
Option 4: 9
Correct Answer: 9
Solution : Given: $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$ Squaring both sides, we get: ⇒ $\mathrm{N}^2+2+\frac{1}{\mathrm{~N}^2}=3$ ⇒ $\mathrm{N}^2+\frac{1}{\mathrm{~N}^2}=1$ Now, cubing both sides, we get: ⇒ $(\mathrm{N}^2+\frac{1}{\mathrm{~N}^2})^3=1^3$ ⇒ $(\mathrm{N}^2)^3 + (\frac{1}{\mathrm{~N}^2})^3 + 3\times\mathrm{N}^2\times\frac{1}{\mathrm{~N}^2}(\mathrm{N}^2+\frac{1}{\mathrm{~N}^2})=1$ ⇒ $ \mathrm{N}^6 + \frac{1}{\mathrm{~N}^6} + 3\times1=1$ ⇒ $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}=-2$ Adding 11 on both sides, we get, $\therefore\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11=9$ Hence, the correct
Question : What is the value of (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2}?
Option 1: $2 a^3+2 b^3+2 c^3$
Option 2: $2a^3+2b^3+2c^3-6abc$
Option 3: $3abc$
Option 4: $6abc$
Correct Answer: $2a^3+2b^3+2c^3-6abc$
Solution : $(a+b+c)\left\{(a-b)^2+(b-c)^2+(c-a)^2\right\}$ $=((a+b+c)\left\{(a^2+b^2-2ab+b^2+c^2-2bc+c^2+a^2-2ac)\right\}$ $=((a+b+c)\left\{(2a^2+2b^2+2c^2-2ab-2bc-2ac)\right\}$ $=(2a^3+2ab^2+2ac^2-2a^2b-2abc-2a^2c+2a^2b+2b^3+2c^2b-2ab^2-2b^2c-2abc+2a^2c+2b^2c+2c^3-2abc-2bc^2-2ac^2)$ $=2a^3-2abc+2b^3-2abc+2c^3-2abc$ $=2a^3+2b^3+2c^3-6abc$ Hence, the correct answer is '$2a^3+2b^3+2c^3-6abc$'.
Question : Select the most appropriate synonym of the underlined word in the given sentence.
The event, in a cramped space, was totally bizarre in my view.
Option 1: Usual
Option 2: Customary
Option 3: Odd
Option 4: Normal
Correct Answer: Odd
Solution : The most appropriate synonym for the underlined word "bizarre" in the given sentence is "odd".
Explanation:
Question : Which of these is not one of the negative effects of the Green Revolution?
Option 1: Primarily medium and large farmers were able to benefit from the new technology of the Green Revolution.
Option 2: The Green Revolution benefited farmers who had access to land, capital, technology and know-how.
Option 3: The Green Revolution led to the displacement of tenant cultivators in many cases.
Option 4: The Green Revolution caused increased migration from urban to rural areas.
Correct Answer: The Green Revolution caused increased migration from urban to rural areas.
Solution : The correct option is the Green Revolution caused increased migration from urban to rural areas.
The Green Revolution caused increased migration from urban to rural areas, which is not one of the negative effects of
Question : In 2023, the Government of India launched the nationwide 'Sarva Dawa Sevan' or mass drug administration to eliminate the disease.
Option 1: Lymphatic filariasis
Option 2: Thalassemia
Option 3: Zika virus
Option 4: Multidrug-resistant tuberculosis
Correct Answer: Lymphatic filariasis
Solution : The correct answer is Lymphatic filariasis.
In India, the Government of India, through the Ministry of Health and Family Welfare, launched a nationwide 'Sarva Dawa Sevan' or Mass Drug Administration (MDA) campaign to eliminate the disease Lymphatic Filariasis (LF). This comprehensive campaign is part
Question : Which is not a measure undertaken by the government to check inflation?
Option 1: An increase in consumption
Option 2: An increase in production
Option 3: Reduction in deficit financing
Option 4: Taxation measures
Correct Answer: An increase in consumption
Solution : The correct answer is an increase in consumption.
Personal consumption spending reduction is an essential fiscal policy implemented by governments to control inflation. This is accomplished through increasing personal, business, and commodity tax rates, as well as imposing additional taxes. The government
Question : In $\triangle$ABC, Z is a point on side BC, and AB = AC. If $\angle$AZB = 90° and BC = 42 cm, then what will be the length of BZ?
Option 1: 21 cm
Option 2: 32 cm
Option 3: 28 cm
Option 4: 35 cm
Correct Answer: 21 cm
Solution : In an isosceles triangle, if a line is drawn from the vertex of the equal sides to the base such that it is perpendicular to the base, it bisects the base. This line is also known as the altitude of the isosceles triangle. Since
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